On the Matrix (I + X)-1
AbstractIn this note we consider the question under which conditions all entries of the matrix I-(I+X)-1 are nonnegative in case matrix X is a real positive definite matrix.Sufficient conditions are presented as well as some necessary conditions.One sufficient condition is that matrix X-1 is an inverse M-matrix.A class of matrices for which the inequality holds is presented.
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Bibliographic InfoPaper provided by Tilburg University, Center for Economic Research in its series Discussion Paper with number 2005-120.
Date of creation: 2005
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Find related papers by JEL classification:
- C00 - Mathematical and Quantitative Methods - - General - - - General
This paper has been announced in the following NEP Reports:
- NEP-ALL-2005-12-14 (All new papers)
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- Engwerda, J.C. & Douven, R.C.M.H., 2005.
"On the Sensitivity Matrix of the Nash Bargaining Solution,"
2005-35, Tilburg University, Center for Economic Research.
- Jacob Engwerda & Rudy Douven, 2008. "On the sensitivity matrix of the Nash bargaining solution," International Journal of Game Theory, Springer, vol. 37(2), pages 265-279, June.
- Engwerda, J.C. & Douven, R.C.M.H., 2008. "On the sensitivity matrix of the Nash bargaining solution," Open Access publications from Tilburg University urn:nbn:nl:ui:12-364999, Tilburg University.
- Engwerda, J.C., 2006. "On the Sensitivity Matrix of the Nash Bargaining Solution," Discussion Paper 2006-107, Tilburg University, Center for Economic Research.
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